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Finding the Fourth Proportional to 8,686.34, 13,026.75 and 3,138.95

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Solution

The fourth proportional to 8,686.34, 13,026.75 and 3,138.95 is: 4,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.34 : 13,026.75 = 3,138.95 : x
  2. Step 2: Convert to fraction form
    8,686.34/13,026.75 = 3,138.95/x
  3. Step 3: Cross multiply
    8,686.34x = 13,026.75 × 3,138.95
  4. Step 4: Simplify right side
    8,686.34x = 40,890,251.78
  5. Step 5: Solve for x
    x = 40,890,251.78/8,686.34
  6. Step 6: Final answer
    x = 4,707.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.